Built on

W. Florkowski, A. Kumar, R. Ryblewski, and R. Singh, “Spin polarization evolution in a boost invariant hydrodynamical background,” Phys. Rev. C
Original
1901
Earlier work this paper cites.
H.-Z. Wu, L.-G. Pang, X.-G. Huang, and Q. Wang, “Local spin polarization in high energy heavy ion collisions,” Phys. Rev. Research
Original
1906
Earlier work this paper cites.
https://doi.org/10.1002/andp.19113390503
F. Jüttner, “Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie,” Jan., 1911 · 1911
Earlier work this paper cites.
V. E. Ambrus, “Helical massive fermions under rotation,” JHEP
Original
1912
Earlier work this paper cites.
V. E. Ambrus and M. N. Chernodub, “Vortical effects in Dirac fluids with vector, chiral and helical charges,” arXiv:1912.11034 [hep-th]
Original
1912
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P. A. M. Dirac, “On the theory of quantum mechanics,” 1926
1926
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M. Mathisson, “Neue mechanik materieller systemes,” Acta Phys. Polon
1937
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International Series In Pure and Applied Physics. McGraw-Hill, New York, 1980
C. Itzykson and J. B. Zuber, Quantum Field Theory · 1980
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A. Vilenkin, “Quantum Field Theory at finite temperature in a rotating system,” Phys. Rev. D
1980
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North Holland, 1, 1980
S. De Groot, W. Van Leeuwen, and C. Van Weert, Relativistic Kinetic Theory. Principles and Applications · 1980
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Addison-Wesley, Reading, USA, 1995
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory · 1995
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1998
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A. Zannoni, “On the quantization of the monoatomic ideal gas,” 1999
1999
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S. Bhadury, W. Florkowski, A. Jaiswal, A. Kumar, and R. Ryblewski, “Relativistic dissipative spin dynamics in the relaxation time approximation,” Phys. Lett. B
Original
2002
Earlier work this paper cites.
Springer, 2002
C. Cercignani and G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications · 2002
Earlier work this paper cites.
D.-L. Yang, K. Hattori, and Y. Hidaka, “Effective quantum kinetic theory for spin transport of fermions with collsional effects,” JHEP
Original
2002
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Y.-C. Liu and X.-G. Huang, “Anomalous chiral transports and spin polarization in heavy-ion collisions,” Nucl. Sci. Tech
Original
2003
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F. Becattini and M. A. Lisa, “Polarization and Vorticity in the Quark–Gluon Plasma,” Ann. Rev. Nucl. Part. Sci
Original
2003
Earlier work this paper cites.

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2022

Spin waves in spin hydrodynamics

Ambrus, Victor E., Ryblewski, Radoslaw, Singh, Rajeev

Understand

The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic hydrodynamics with spin based on the de Groot--van Leeuwen--van Weert definitions of the energy-momentum and spin tensors.

We derive the analytical expression for the spin wave velocity for arbitrary statistics and show that it goes to half the speed of light in the ultra-relativistic limit.
We find that only the transverse degrees of freedom propagate, analogously to electromagnetic waves.
Finally, we consider the effect of dissipative corrections and calculate the damping coefficients for the case of Maxwell-J\"uttner statistics.

Built on

W. Florkowski, A. Kumar, R. Ryblewski, and R. Singh, “Spin polarization evolution in a boost invariant hydrodynamical background,” Phys. Rev. C
Original
1901
Earlier work this paper cites.
H.-Z. Wu, L.-G. Pang, X.-G. Huang, and Q. Wang, “Local spin polarization in high energy heavy ion collisions,” Phys. Rev. Research
Original
1906
Earlier work this paper cites.
https://doi.org/10.1002/andp.19113390503
F. Jüttner, “Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie,” Jan., 1911 · 1911
Earlier work this paper cites.
V. E. Ambrus, “Helical massive fermions under rotation,” JHEP
Original
1912
Earlier work this paper cites.
V. E. Ambrus and M. N. Chernodub, “Vortical effects in Dirac fluids with vector, chiral and helical charges,” arXiv:1912.11034 [hep-th]
Original
1912
Earlier work this paper cites.
P. A. M. Dirac, “On the theory of quantum mechanics,” 1926
1926
Earlier work this paper cites.
M. Mathisson, “Neue mechanik materieller systemes,” Acta Phys. Polon
1937
Earlier work this paper cites.
International Series In Pure and Applied Physics. McGraw-Hill, New York, 1980
C. Itzykson and J. B. Zuber, Quantum Field Theory · 1980
Earlier work this paper cites.
A. Vilenkin, “Quantum Field Theory at finite temperature in a rotating system,” Phys. Rev. D
1980
Earlier work this paper cites.
North Holland, 1, 1980
S. De Groot, W. Van Leeuwen, and C. Van Weert, Relativistic Kinetic Theory. Principles and Applications · 1980
Earlier work this paper cites.
Addison-Wesley, Reading, USA, 1995
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory · 1995
Earlier work this paper cites.
J. D. Jackson, “Classical Electrodynamics,” John Wiley & Sons Inc
1998
Earlier work this paper cites.
A. Zannoni, “On the quantization of the monoatomic ideal gas,” 1999
1999
Earlier work this paper cites.
S. Bhadury, W. Florkowski, A. Jaiswal, A. Kumar, and R. Ryblewski, “Relativistic dissipative spin dynamics in the relaxation time approximation,” Phys. Lett. B
Original
2002
Earlier work this paper cites.
Springer, 2002
C. Cercignani and G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications · 2002
Earlier work this paper cites.
D.-L. Yang, K. Hattori, and Y. Hidaka, “Effective quantum kinetic theory for spin transport of fermions with collsional effects,” JHEP
Original
2002
Earlier work this paper cites.
Y.-C. Liu and X.-G. Huang, “Anomalous chiral transports and spin polarization in heavy-ion collisions,” Nucl. Sci. Tech
Original
2003
Earlier work this paper cites.
F. Becattini and M. A. Lisa, “Polarization and Vorticity in the Quark–Gluon Plasma,” Ann. Rev. Nucl. Part. Sci
Original
2003
Earlier work this paper cites.